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authorMario <mario@mariovavti.com>2020-11-27 08:04:00 +0000
committerMario <mario@mariovavti.com>2020-11-27 08:04:00 +0000
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+<?php
+
+declare(strict_types=1);
+
+namespace Brick\Math;
+
+use Brick\Math\Exception\DivisionByZeroException;
+use Brick\Math\Exception\MathException;
+use Brick\Math\Exception\NumberFormatException;
+use Brick\Math\Exception\RoundingNecessaryException;
+
+/**
+ * Common interface for arbitrary-precision rational numbers.
+ *
+ * @psalm-immutable
+ */
+abstract class BigNumber implements \Serializable, \JsonSerializable
+{
+ /**
+ * The regular expression used to parse integer, decimal and rational numbers.
+ */
+ private const PARSE_REGEXP =
+ '/^' .
+ '(?<sign>[\-\+])?' .
+ '(?:' .
+ '(?:' .
+ '(?<integral>[0-9]+)?' .
+ '(?<point>\.)?' .
+ '(?<fractional>[0-9]+)?' .
+ '(?:[eE](?<exponent>[\-\+]?[0-9]+))?' .
+ ')|(?:' .
+ '(?<numerator>[0-9]+)' .
+ '\/?' .
+ '(?<denominator>[0-9]+)' .
+ ')' .
+ ')' .
+ '$/';
+
+ /**
+ * Creates a BigNumber of the given value.
+ *
+ * The concrete return type is dependent on the given value, with the following rules:
+ *
+ * - BigNumber instances are returned as is
+ * - integer numbers are returned as BigInteger
+ * - floating point numbers are converted to a string then parsed as such
+ * - strings containing a `/` character are returned as BigRational
+ * - strings containing a `.` character or using an exponential notation are returned as BigDecimal
+ * - strings containing only digits with an optional leading `+` or `-` sign are returned as BigInteger
+ *
+ * @param BigNumber|int|float|string $value
+ *
+ * @return BigNumber
+ *
+ * @throws NumberFormatException If the format of the number is not valid.
+ * @throws DivisionByZeroException If the value represents a rational number with a denominator of zero.
+ *
+ * @psalm-pure
+ */
+ public static function of($value) : BigNumber
+ {
+ if ($value instanceof BigNumber) {
+ return $value;
+ }
+
+ if (\is_int($value)) {
+ return new BigInteger((string) $value);
+ }
+
+ if (\is_float($value)) {
+ $value = self::floatToString($value);
+ } else {
+ $value = (string) $value;
+ }
+
+ $throw = function() use ($value) : void {
+ throw new NumberFormatException(\sprintf(
+ 'The given value "%s" does not represent a valid number.',
+ $value
+ ));
+ };
+
+ if (\preg_match(self::PARSE_REGEXP, $value, $matches) !== 1) {
+ $throw();
+ }
+
+ $getMatch = function(string $value) use ($matches) : ?string {
+ return isset($matches[$value]) && $matches[$value] !== '' ? $matches[$value] : null;
+ };
+
+ $sign = $getMatch('sign');
+ $numerator = $getMatch('numerator');
+ $denominator = $getMatch('denominator');
+
+ if ($numerator !== null) {
+ $numerator = self::cleanUp($sign . $numerator);
+ $denominator = self::cleanUp($denominator);
+
+ if ($denominator === '0') {
+ throw DivisionByZeroException::denominatorMustNotBeZero();
+ }
+
+ return new BigRational(
+ new BigInteger($numerator),
+ new BigInteger($denominator),
+ false
+ );
+ }
+
+ $point = $getMatch('point');
+ $integral = $getMatch('integral');
+ $fractional = $getMatch('fractional');
+ $exponent = $getMatch('exponent');
+
+ if ($integral === null && $fractional === null) {
+ $throw();
+ }
+
+ if ($integral === null) {
+ $integral = '0';
+ }
+
+ if ($point !== null || $exponent !== null) {
+ $fractional = $fractional ?? '';
+ $exponent = $exponent !== null ? (int) $exponent : 0;
+
+ if ($exponent === PHP_INT_MIN || $exponent === PHP_INT_MAX) {
+ throw new NumberFormatException('Exponent too large.');
+ }
+
+ $unscaledValue = self::cleanUp($sign . $integral . $fractional);
+
+ $scale = \strlen($fractional) - $exponent;
+
+ if ($scale < 0) {
+ if ($unscaledValue !== '0') {
+ $unscaledValue .= \str_repeat('0', - $scale);
+ }
+ $scale = 0;
+ }
+
+ return new BigDecimal($unscaledValue, $scale);
+ }
+
+ $integral = self::cleanUp($sign . $integral);
+
+ return new BigInteger($integral);
+ }
+
+ /**
+ * Safely converts float to string, avoiding locale-dependent issues.
+ *
+ * @see https://github.com/brick/math/pull/20
+ *
+ * @param float $float
+ *
+ * @return string
+ *
+ * @psalm-pure
+ * @psalm-suppress ImpureFunctionCall
+ */
+ private static function floatToString(float $float) : string
+ {
+ $currentLocale = \setlocale(LC_NUMERIC, '0');
+ \setlocale(LC_NUMERIC, 'C');
+
+ $result = (string) $float;
+
+ \setlocale(LC_NUMERIC, $currentLocale);
+
+ return $result;
+ }
+
+ /**
+ * Proxy method to access protected constructors from sibling classes.
+ *
+ * @internal
+ *
+ * @param mixed ...$args The arguments to the constructor.
+ *
+ * @return static
+ *
+ * @psalm-pure
+ */
+ protected static function create(... $args) : BigNumber
+ {
+ /** @psalm-suppress TooManyArguments */
+ return new static(... $args);
+ }
+
+ /**
+ * Returns the minimum of the given values.
+ *
+ * @param BigNumber|int|float|string ...$values The numbers to compare. All the numbers need to be convertible
+ * to an instance of the class this method is called on.
+ *
+ * @return static The minimum value.
+ *
+ * @throws \InvalidArgumentException If no values are given.
+ * @throws MathException If an argument is not valid.
+ *
+ * @psalm-pure
+ */
+ public static function min(...$values) : BigNumber
+ {
+ $min = null;
+
+ foreach ($values as $value) {
+ $value = static::of($value);
+
+ if ($min === null || $value->isLessThan($min)) {
+ $min = $value;
+ }
+ }
+
+ if ($min === null) {
+ throw new \InvalidArgumentException(__METHOD__ . '() expects at least one value.');
+ }
+
+ return $min;
+ }
+
+ /**
+ * Returns the maximum of the given values.
+ *
+ * @param BigNumber|int|float|string ...$values The numbers to compare. All the numbers need to be convertible
+ * to an instance of the class this method is called on.
+ *
+ * @return static The maximum value.
+ *
+ * @throws \InvalidArgumentException If no values are given.
+ * @throws MathException If an argument is not valid.
+ *
+ * @psalm-pure
+ */
+ public static function max(...$values) : BigNumber
+ {
+ $max = null;
+
+ foreach ($values as $value) {
+ $value = static::of($value);
+
+ if ($max === null || $value->isGreaterThan($max)) {
+ $max = $value;
+ }
+ }
+
+ if ($max === null) {
+ throw new \InvalidArgumentException(__METHOD__ . '() expects at least one value.');
+ }
+
+ return $max;
+ }
+
+ /**
+ * Returns the sum of the given values.
+ *
+ * @param BigNumber|int|float|string ...$values The numbers to add. All the numbers need to be convertible
+ * to an instance of the class this method is called on.
+ *
+ * @return static The sum.
+ *
+ * @throws \InvalidArgumentException If no values are given.
+ * @throws MathException If an argument is not valid.
+ *
+ * @psalm-pure
+ */
+ public static function sum(...$values) : BigNumber
+ {
+ /** @var BigNumber|null $sum */
+ $sum = null;
+
+ foreach ($values as $value) {
+ $value = static::of($value);
+
+ if ($sum === null) {
+ $sum = $value;
+ } else {
+ $sum = self::add($sum, $value);
+ }
+ }
+
+ if ($sum === null) {
+ throw new \InvalidArgumentException(__METHOD__ . '() expects at least one value.');
+ }
+
+ return $sum;
+ }
+
+ /**
+ * Adds two BigNumber instances in the correct order to avoid a RoundingNecessaryException.
+ *
+ * @todo This could be better resolved by creating an abstract protected method in BigNumber, and leaving to
+ * concrete classes the responsibility to perform the addition themselves or delegate it to the given number,
+ * depending on their ability to perform the operation. This will also require a version bump because we're
+ * potentially breaking custom BigNumber implementations (if any...)
+ *
+ * @param BigNumber $a
+ * @param BigNumber $b
+ *
+ * @return BigNumber
+ *
+ * @psalm-pure
+ */
+ private static function add(BigNumber $a, BigNumber $b) : BigNumber
+ {
+ if ($a instanceof BigRational) {
+ return $a->plus($b);
+ }
+
+ if ($b instanceof BigRational) {
+ return $b->plus($a);
+ }
+
+ if ($a instanceof BigDecimal) {
+ return $a->plus($b);
+ }
+
+ if ($b instanceof BigDecimal) {
+ return $b->plus($a);
+ }
+
+ /** @var BigInteger $a */
+
+ return $a->plus($b);
+ }
+
+ /**
+ * Removes optional leading zeros and + sign from the given number.
+ *
+ * @param string $number The number, validated as a non-empty string of digits with optional leading sign.
+ *
+ * @return string
+ *
+ * @psalm-pure
+ */
+ private static function cleanUp(string $number) : string
+ {
+ $firstChar = $number[0];
+
+ if ($firstChar === '+' || $firstChar === '-') {
+ $number = \substr($number, 1);
+ }
+
+ $number = \ltrim($number, '0');
+
+ if ($number === '') {
+ return '0';
+ }
+
+ if ($firstChar === '-') {
+ return '-' . $number;
+ }
+
+ return $number;
+ }
+
+ /**
+ * Checks if this number is equal to the given one.
+ *
+ * @param BigNumber|int|float|string $that
+ *
+ * @return bool
+ */
+ public function isEqualTo($that) : bool
+ {
+ return $this->compareTo($that) === 0;
+ }
+
+ /**
+ * Checks if this number is strictly lower than the given one.
+ *
+ * @param BigNumber|int|float|string $that
+ *
+ * @return bool
+ */
+ public function isLessThan($that) : bool
+ {
+ return $this->compareTo($that) < 0;
+ }
+
+ /**
+ * Checks if this number is lower than or equal to the given one.
+ *
+ * @param BigNumber|int|float|string $that
+ *
+ * @return bool
+ */
+ public function isLessThanOrEqualTo($that) : bool
+ {
+ return $this->compareTo($that) <= 0;
+ }
+
+ /**
+ * Checks if this number is strictly greater than the given one.
+ *
+ * @param BigNumber|int|float|string $that
+ *
+ * @return bool
+ */
+ public function isGreaterThan($that) : bool
+ {
+ return $this->compareTo($that) > 0;
+ }
+
+ /**
+ * Checks if this number is greater than or equal to the given one.
+ *
+ * @param BigNumber|int|float|string $that
+ *
+ * @return bool
+ */
+ public function isGreaterThanOrEqualTo($that) : bool
+ {
+ return $this->compareTo($that) >= 0;
+ }
+
+ /**
+ * Checks if this number equals zero.
+ *
+ * @return bool
+ */
+ public function isZero() : bool
+ {
+ return $this->getSign() === 0;
+ }
+
+ /**
+ * Checks if this number is strictly negative.
+ *
+ * @return bool
+ */
+ public function isNegative() : bool
+ {
+ return $this->getSign() < 0;
+ }
+
+ /**
+ * Checks if this number is negative or zero.
+ *
+ * @return bool
+ */
+ public function isNegativeOrZero() : bool
+ {
+ return $this->getSign() <= 0;
+ }
+
+ /**
+ * Checks if this number is strictly positive.
+ *
+ * @return bool
+ */
+ public function isPositive() : bool
+ {
+ return $this->getSign() > 0;
+ }
+
+ /**
+ * Checks if this number is positive or zero.
+ *
+ * @return bool
+ */
+ public function isPositiveOrZero() : bool
+ {
+ return $this->getSign() >= 0;
+ }
+
+ /**
+ * Returns the sign of this number.
+ *
+ * @return int -1 if the number is negative, 0 if zero, 1 if positive.
+ */
+ abstract public function getSign() : int;
+
+ /**
+ * Compares this number to the given one.
+ *
+ * @param BigNumber|int|float|string $that
+ *
+ * @return int [-1,0,1] If `$this` is lower than, equal to, or greater than `$that`.
+ *
+ * @throws MathException If the number is not valid.
+ */
+ abstract public function compareTo($that) : int;
+
+ /**
+ * Converts this number to a BigInteger.
+ *
+ * @return BigInteger The converted number.
+ *
+ * @throws RoundingNecessaryException If this number cannot be converted to a BigInteger without rounding.
+ */
+ abstract public function toBigInteger() : BigInteger;
+
+ /**
+ * Converts this number to a BigDecimal.
+ *
+ * @return BigDecimal The converted number.
+ *
+ * @throws RoundingNecessaryException If this number cannot be converted to a BigDecimal without rounding.
+ */
+ abstract public function toBigDecimal() : BigDecimal;
+
+ /**
+ * Converts this number to a BigRational.
+ *
+ * @return BigRational The converted number.
+ */
+ abstract public function toBigRational() : BigRational;
+
+ /**
+ * Converts this number to a BigDecimal with the given scale, using rounding if necessary.
+ *
+ * @param int $scale The scale of the resulting `BigDecimal`.
+ * @param int $roundingMode A `RoundingMode` constant.
+ *
+ * @return BigDecimal
+ *
+ * @throws RoundingNecessaryException If this number cannot be converted to the given scale without rounding.
+ * This only applies when RoundingMode::UNNECESSARY is used.
+ */
+ abstract public function toScale(int $scale, int $roundingMode = RoundingMode::UNNECESSARY) : BigDecimal;
+
+ /**
+ * Returns the exact value of this number as a native integer.
+ *
+ * If this number cannot be converted to a native integer without losing precision, an exception is thrown.
+ * Note that the acceptable range for an integer depends on the platform and differs for 32-bit and 64-bit.
+ *
+ * @return int The converted value.
+ *
+ * @throws MathException If this number cannot be exactly converted to a native integer.
+ */
+ abstract public function toInt() : int;
+
+ /**
+ * Returns an approximation of this number as a floating-point value.
+ *
+ * Note that this method can discard information as the precision of a floating-point value
+ * is inherently limited.
+ *
+ * If the number is greater than the largest representable floating point number, positive infinity is returned.
+ * If the number is less than the smallest representable floating point number, negative infinity is returned.
+ *
+ * @return float The converted value.
+ */
+ abstract public function toFloat() : float;
+
+ /**
+ * Returns a string representation of this number.
+ *
+ * The output of this method can be parsed by the `of()` factory method;
+ * this will yield an object equal to this one, without any information loss.
+ *
+ * @return string
+ */
+ abstract public function __toString() : string;
+
+ /**
+ * {@inheritdoc}
+ */
+ public function jsonSerialize() : string
+ {
+ return $this->__toString();
+ }
+}